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A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = 3,$ then find the side length of the hexagon.

 Mar 29, 2024
 #1
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Area of a hexagon  =  6 (1/2) s^2  sin (60°)    where s is the side length

 

3 =  6 (1/2) s^2 *sqrt (3)  / 2

 

3 = 3 s^2 * sqrt (3)  / 2

 

s^2  = 2 / sqrt (3)

 

s = sqrt  [ 2  / sqrt (3) ]   ≈ 1.075 

 

 

cool cool cool

 Mar 29, 2024

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